Cluster algebras and singular supports of perverse sheaves
arXiv:1301.5079
Abstract
We propose an approach to Geiss-Leclerc-Schroer's conjecture on the cluster algebra structure on the coordinate ring of a unipotent subgroup and the dual canonical base. It is based on singular supports of perverse sheaves on the space of representations of a quiver, which give the canonical base.
21 pages; v2: A paragraph explaining a relation between the main conjecture and an earlier conjecture by Geiss-Leclerc-Schroer is added